The axial section of the cone is a triangle, the sides of which are 12cm, 12cm and 8cm, find the height of the cone.
| July 23, 2021 | education
Let us define the semiperimeter of the triangle. P = (12 + 12 + 8) / 2 = 16 cm.
By Heron’s theorem, we determine the area of the triangle ABC.
S = √16 * (16 – 12) * (16 – 12) * (16 – 8) = √2048 = 32 * √2 cm2.
S = AC * OB / 2.
ОВ = 2 * S / АС = 2 * 32 * √2 / 8 = 8 * √2 cm2.
Answer: The height of the cone is 8 * √2 cm2.
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